A RECURSIVE FORMULA FOR THE CLEBSCH-GORDAN COEFFICIENTS OF SUn GROUP

  • It is proved that under the Gelfand-Biedenharn phase convention any SUn singletfactor (SF) belongs to the type of the derivable or underivable,designated as (SUnSF)d and (SUr SF) respectively,and (SUn SF)d=(SUr SF),n=r+1,r+2,….Therefore the calculation of any SUn Clebsch-Gordan coefficients is reduced to thecalculation of a few underivable singlet factor (SUr SF).
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  • [1] 陈金全、王凡、高美娟,物理学报,27(1978), 31.[2] J. J. De Swart, Rev. Mod. Phys., 35 (1963), 916.[3] E. M. Haacke, J. W.Moffat and P. Savaria, J. Math Plays.,17 (1976), 2041.[4] I. M. Gelfand and M.L. Tseitlin, "Dokl. Akad Nauk. SSSR"71 (1950), 825. G. E. Baird and L.C. Biedenharn, J. Math. Phys., 5 (1964),1723.[5] 陈金全、王凡、高美娟,物理学报,26(1977), 427.[6] G. Racah, Phys Rev., 76 (1949), 1352. "Group Theory and Spectroscopy" (1951), Princeton.
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CHEN JIN-QUAN, YU ZU-RONG and WANG FAN. A RECURSIVE FORMULA FOR THE CLEBSCH-GORDAN COEFFICIENTS OF SUn GROUP[J]. Chinese Physics C, 1979, 3(2): 216-255.
CHEN JIN-QUAN, YU ZU-RONG and WANG FAN. A RECURSIVE FORMULA FOR THE CLEBSCH-GORDAN COEFFICIENTS OF SUn GROUP[J]. Chinese Physics C, 1979, 3(2): 216-255. shu
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Received: 1977-11-05
Revised: 1900-01-01
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A RECURSIVE FORMULA FOR THE CLEBSCH-GORDAN COEFFICIENTS OF SUn GROUP

Abstract: It is proved that under the Gelfand-Biedenharn phase convention any SUn singletfactor (SF) belongs to the type of the derivable or underivable,designated as (SUnSF)d and (SUr SF) respectively,and (SUn SF)d=(SUr SF),n=r+1,r+2,….Therefore the calculation of any SUn Clebsch-Gordan coefficients is reduced to thecalculation of a few underivable singlet factor (SUr SF).

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